Posted by **Bill** on Tuesday, December 21, 2010 at 9:02pm.

A train traveling at a constant speed rounds a curve of radius 250 m. A chandelier suspended from the ceiling swings out to an angle of 15.5° throughout the turn. What is the speed of the train?

what equation should i use?

- physics -
**drwls**, Tuesday, December 21, 2010 at 10:20pm
You need to think it through and solve two equations. The fixture or chain that holds the chandelier exerts a tension force T upon it that is inclined 15.5 degrees to the vertical. The vertical component supports the weight, M g, and the horizontal component provides the centripetal force, M V^2/R . Thus

T cos15.5 = M g, and

T sin15.5 = M V^2/R

You can divide the last equation by the first to eliminate T and M

tan15.5 = V^2/(gR) = 0.2173

Solve for V, in m/s

## Answer this Question

## Related Questions

- PHYSICS - A train traveling at a constant speed rounds a curve of radius 200 m. ...
- physics - A train travels at a constant speed around a curve of radius 225 m. A ...
- physics - A train slows down at a constant rate as it rounds a sharp circular ...
- Physics - You are riding in a school bus. As the bus rounds a flat curve at ...
- physics - You are riding in a school bus. As the bus rounds a flat curve at ...
- physics - A train slows down as it rounds a sharp horizontal turn, going from 99...
- physics - A train slows down as it rounds a sharp horizontal turn, slowing from ...
- Physics - The fast French train known as the TGV (Train à Grande Vitesse) has a ...
- college physics - As your bus rounds a flat curve at constant speed, a package ...
- college physics - As your bus rounds a flat curve at constant speed, a package ...

More Related Questions